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Nonamenable Poisson zoo

math.PR · 2025-05-11 · reject · novelty 8.0

For worms on any nonamenable unimodular transitive graph and for arbitrary animals on nonamenable free products, infinite second moment forces infinite clusters at every positive intensity.

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  • Nonamenable Poisson zoo math.PR · 2025-05-11 · reject · none · ref 1

    For worms on any nonamenable unimodular transitive graph and for arbitrary animals on nonamenable free products, infinite second moment forces infinite clusters at every positive intensity.